First recommendation would be to get a radar detector if you don't already have one. I went with the Valentine V1 and am more than happy with it. Even if you don't speed at all the peace of mind it offers is quite nice. I don't have the link handy (think there was a write-up on Valentine's site), but if you go that route I recommend reading up on how to adjust it so it only goes off for k-band and laser detection, otherwise it will go off from a lot of building security systems as you're driving by.

Secondly, pace yourself. I put aside two weeks for my whole trip, partly because a good chunk of my first week would be spent in Minnesota for a relatve's wedding. That left me with a week to get back home, and aside from splitting one leg of the journey into two days and spending a day in Denver, CO, that usually meant about 700+ miles of driving a day. That can be pretty grueling if you're not ready for it.

Bring a car charger for your cell phone, and get one of those "battery backpack" things that you can plug your phone into on the go. Being out in the middle of nowhere can lead to your phone draining itself trying to search for a signal, and if you're using the gps or taking a lot of photos with it, it'll drain quickly that way too.

Get Xpel paint protection film installed. Since the Museum stopped doing that right before I got my car, I ended up getting mine installed in Minnesota. That actually saved me a few bucks as the bug graveyard on the car by time I got there informed me that I only needed the bumper, mirrors, and only the half fender / half hood setup done instead of the full hood / full fenders. I paid about $700 for my setup, which from what I've heard around the forum is considered just about the average / best price for that setup. I'd recommend messaging up the Xpel rep on the forum (XPEL Technologies) to find the authorized installers near / along your route. Plan to have them have the car for a day (or two, possibly) to do a good install.

If your car doesn't already have them, get the GM splash guards. Even if you take them off after you get home (though I, personally, like the look of them). I got the carbon flash painted set from RPI, so the museum wouldn't install them. The car had ~7 miles on it when I got it, and already had more dust behind the wheels (rears in particular) than it ever has had since installing them, and they do a great job at rock protection as well.

I'm not much of a tourist, but I still tried to make my trip somewhat interesting. I flew in to Nashville, TN, checked out the Grand Ol Opry, then went up to the NCM and spent the day before my delivery checking that place out. If you can swing that on your journey I recommend it. From there I went up to St. Paul, MN for the relative's wedding. I set out from there and did a two-day drive to Denver, CO. I forget where I stayed the night on the way there, it was just a "ok, I'm tired, let's stop" kind of thing.

I spent a day in Denver and went to the top of Pike's Peak. Denver had the only real weather 'scare' on the trip, as a pretty nasty storm rolled through ("regular weather" according the friend I stayed with). It hailed, and by sheer luck my friend had a thick car cover / blanket that protected the car. I would say keep a real close eye on the weather, and if you feel the need maybe pack along a good outdoor weather car cover.

From Denver I went to Vegas, though got there late enough and left the next day that I didn't do any gambling. If you got that route I highly recommend scoping out the downtown traffic and possible construction going on before you get into town. It was sheer luck that the heavy traffic and construction detours spat me out at my hotel's doorstep on the strip. As a side note, Utah's got some absolutely gorgeous open spaces to drive through.

Last day of my trip was probably the neatest of the bunch. I went from Vegas out to the Spring Mountain track to talk with them about the whole 'Corvette buyer's package' thing they've got going on. From there I went through Death Valley, then on to and through Yosemite and back to the bay area.

Any other things I may not have covered, or any other questions you may have, feel free to send my way.